portada Partial Differential Equations in Action: From Modelling to Theory (en Inglés)

Partial Differential Equations in Action: From Modelling to Theory (en Inglés)

Formato

Libro Físico

Autor

Sandro Salsa

Gianmaria Verzini

Editorial

Springer

Idioma

Inglés

N° páginas

677

Encuadernación

Tapa Blanda

Dimensiones

22.8x14.8x2.6 cm

Peso

1.13 kg.

ISBN13

9783031218521

N° edición

0004

Categorías

Análisis funcional y transformaciones
Ingeniería: general

Partial Differential Equations in Action: From Modelling to Theory (en Inglés)

Sandro Salsa (Autor) · Gianmaria Verzini (Autor) · Springer · Tapa Blanda

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Reseña del libro "Partial Differential Equations in Action: From Modelling to Theory (en Inglés)"

This work is an updated version of a book evolved from courses offered on partial differential equations (PDEs) over the last several years at the Politecnico di Milano. These courses had a twofold purpose: on the one hand, to teach students to appreciate the interplay between theory and modeling in problems arising in the applied sciences, and on the other to provide them with a solid theoretical background for numerical methods, such as finite elements. Accordingly, this textbook is divided into two parts. The first part, chapters 2 to 5, is more elementary in nature and focuses on developing and studying basic problems from the macro-areas of diffusion, propagation and transport, waves and vibrations. In the second part, chapters 6 to 10 concentrate on the development of Hilbert spaces methods for the variational formulation and the analysis of (mainly) linear boundary and initial-boundary value problems, while Chapter 11 deals with vector-valued conservation laws, extending the theory developed in Chapter 4. The main differences with respect to the previous editions are: a new section on reaction diffusion models for population dynamics in a heterogeneous environment; several new exercises in almost all chapters; a general restyling and a reordering of the last chapters. The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering.